6 search results - page 1 / 2 » Partitions of Faulty Hypercubes into Paths with Prescribed E... |
SIAMDM
2008
13 years 5 months ago
2008
ENDM
2007
13 years 5 months ago
2007
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
IPL
2008
13 years 5 months ago
2008
A path partition of a graph G is a set of vertex-disjoint paths that cover all vertices of G. Given a set P = {{ai, bi}}m i=1 of pairs of distinct vertices of the n-dimensional hy...
DM
2007
13 years 5 months ago
2007
Given a set P of at most 2n − 4 prescribed edges (n ≥ 5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between ...
JCO
2010
13 years 3 months ago
2010
An important task in the theory of hypercubes is to establish the maximum integer fn such that for every set F of f vertices in the hypercube Qn, with 0 ≤ f ≤ fn, there exists ...